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Maslowich
3 years ago
6

Find the area of the figure. Use 3.14 for pie . Round your answer to the nearest tenth.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

538.3

Step-by-step explanation:

First of all find the area of the rectangle

L*W

15*30

450

Now find the area of semi circle

1/2\pi r^{2}

Since radius is half a diameter divided 15 by 2=7.5

1/2\pi 7.5^{2}                            7.5 times 7.5= 56.25

1/2*3.14*56.25

56 times 3.14 is 176.625 now multiply 176.625 by 1/2

Answer is 88.3125

Now add 450 to 88.3125

Final answer: 538.3125

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UNO [17]

Answer:

402 days.

Step-by-step explanation:

f(x)=1+1.5ln(x+1)

When f() = 10 we have:

10 = 1 + 1.5ln (x + 1)

ln (x + 1) = (10-1) / 1.5 = 6

x + 1 = e^6

x = e^6 - 1 = 402.4.

8 0
3 years ago
a grandmother deposits $6000 in an account that pays 9% compounded monthly. What will be the value of the account at the​ child'
valkas [14]

now, we're assuming she made the deposit at the child's birth, namely when year was 0, at the child's twenty-first birthday that'll be 21 years later.

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &21 \end{cases} \\\\\\ A=6000\left(1+\frac{0.09}{12}\right)^{12\cdot 21}\implies A=6000(1.0075)^{252}\implies A\approx 39437.11

8 0
2 years ago
Evaluate the following integral or state that it diverges. <br><br> *integral 0 to 1 (ln x)do
dolphi86 [110]

Answer:

-1

Step-by-step explanation:

so firstly we solve by integrating by parts.

lnX × X - the integral of x/x

so the integral is Xln(X) - X

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6 0
2 years ago
Ok im sorry for the ppl who keep answering my questions. I'm trying to get an A in math thank you for helping me!!! also im runn
Alex777 [14]

Answer:

<h2>56.52 {in}^{3}</h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u>,</u></em>

Diameter of the bowl = 6 in

Radius of the bowl = 6 ÷ 2 = 3 in.

Height of the bowl = 2 in.

<em><u>Therefore</u></em><em><u>, </u></em>

Volume of the bowl to hold water ,

= \pi {r}^{2} h

= 3.14 \times 3in \times 3in \times 2in

= 56.52 {in}^{3} (ans)

8 0
3 years ago
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